巧证三余弦定理

<正>新课标苏教选修2—1教材第98页习题第9题要我们求证三余弦定理:已知平面的一条斜线和它在平面内的射影的夹角为θ₁,平面内的一条直线和这条斜线在平面内的射影的夹角为θ₂.设斜线和平面内这条直线的夹角为θ,则cosθ=cosθ₁·cosθ₂.     

蜻蜓眼睛光栅

介绍了蜻蜓眼睛光栅的制作过程.通过对蜻蜒眼睛光栅的衍射图样进行分析、测量和计算,从而推出蜻蜒眼睛光栅的结构和光栅常量,推测结果与电镜下拍到的结果基本一致.用3片互成60°的普通一维光栅做成二维三重光栅,通过实验和计算机编程2种方法得到的衍射图样与蜻蜒眼睛光栅的衍射图样非常吻合.     

氯化钆对糖尿病小鼠模型的降糖作用

在离体培养人胰腺前体细胞时在培养基中加入GdCl3,观察发现GdCl3能够使人胰腺前体细胞聚集,在诱导因子共同存在下,进一步诱导人胰腺前体细胞成为胰岛样结构。用STZ诱导小鼠构建I型糖尿病小鼠模型。当每4 d给I型糖尿病小鼠腹腔注射GdCl3溶液,25 d后观察到小鼠的空腹血糖值明显降低,IPGTT试验结果显示,小鼠糖代谢得到明显改善。结果表明,可能的机制为：GdCl3通过促进胰腺干细胞分化成为成熟的胰岛素分泌细胞,增加内分泌细胞的数量,从而促进受损胰腺的再生与修复,起到降低糖尿病小鼠血糖水平的作用。     

16种基础R0-代数结构的相对独立公理系统

在对R0-代数和基础R0-代数结构研究的基础上,讨论了基础R0-代数结构与并(交)半格及有界并(交)半格上的等价性命题系统,进而证明了16种基础R0-代数公理系统的相对独立性,同时指出了相应R0-代数结构的公理系统的相对独立性.     

Focal Shift of Paraxial Gaussian Beams in a Left-Handed Material Slab Lens

Focal shift is inevitable in conventional lens systems due to the Fresnel number and angular aperture. In this Letter, we demonstrate that there is no focal shift when a paraxial Gaussian beam passes through a left-handed material slab lens without absorption or gain. However, the effect is exhibited in the presence of absorption or gain, and becomes larger as the absorption or gain increases. When the absorption is equal to the gain, the phenomenon of the focal shift caused by the gain is more obvious. In addition, the field distribution is not affected by the absorption or gain and always remains Gaussian both in internal and external focus planes.     

全反射式高分辨率傅里叶成像光谱仪的研究

提出了一种基于分波前干涉结构的全反射式高分辨率傅里叶变换成像光谱仪。其中前置望远系统及干涉成像系统都采用了反射式光学元件,反射表面镀金属反射膜,使系统可应用与很宽的光谱范围内。分析和讨论了光谱仪的工作原理及光学结构,设计了两种可行的光路结构图,并通过初步实验验证了系统的基本性能。     

Plasmon-induced transparency effect in hybrid terahertz metamaterials with active control and multi-dark modes

We numerically demonstrate a photo-excited plasmon-induced transparency (PIT) effect in hybrid terahertz (THz) metamaterials. The proposed metamaterials are regular arrays of hybrid unit cells composed of a metallic cut wire and four metallic split-ring resonators (SRRs) whose gaps are filled with photosensitive semiconductor gallium arsenide (GaAs) patches. We simulate the PIT effect controlled by external infrared light intensity to change the conductivity of GaAs. In the absence of photo excitation, the conductivity of GaAs is 0, thus the SRR gaps are disconnected, and the PIT effect is not observed since the dark resonator (supported by the hybrid SRRs) cannot be stimulated. When the conductivity of GaAs is increased via photo excitation, the conductivity of GaAs can increase rapidly from 0 S/m to 1×10⁶ S/m and GaAs can connect the metal aluminum SRR gaps, and the dark resonator is excited through coupling with the bright resonator (supported by the cut wire), which leads to the PIT effect. Therefore, the PIT effect can be dynamically tuned between the on and off states by controlling the intensity of the external infrared light. We also discuss couplings between one bright mode (CW) and several dark modes (SRRs) with different sizes. The interference analytically described by the coupled Lorentz oscillator model elucidates the coupling mechanism between one bright mode and two dark modes. The phenomenon can be considered the result of linear superposition of the coupling between the bright mode and each dark mode. The proposed metamaterials are promising for application in the fields of THz communications, optical storage, optical display, and imaging.     

CuWO4促进金红石TiO2光催化降解苯酚及其可能机理

已知金红石光催化降解水中有机物的活性远低于锐钛矿和板钛矿。本文报道,加入少量钨酸铜能显著加快金红石光催化降解水中苯酚。反应速率增加的幅度不仅远高于在相同煅烧温度（600 ℃）下制得的锐钛矿和板钛矿,而且随金红石煅烧温度（150-800 ℃）的增加持续增加。这些现象说明通过加入助催化剂钨酸铜,高温焙烧温度合成的金红石所具有的高的固有光催化活性可以被开发出来。此外,在过量苯酚存在下,H₂O₂的生成量随钨酸铜的加入量而先增加后减少,并且该趋势与苯酚降解速率基本一致。钨酸铜的这种正效应归结于固态的钨酸铜,而不是溶于水中的铜离子。（光）电化学测试表明,体系发生了从受光激发的金红石到钨酸铜的电子转移。这将提高光生载流子的分离效率,从而增大了O₂还原和苯酚降解的速率。     

非共线相位匹配的参量增益分析

对非共线Ⅱ类相位匹配的ＫＴＰ飞秒光学参量振荡器进行了分析和理论研究，用数值方法得出参量增益的变化曲线和参量光的光强分布，与共线相位匹配相比，非共线方案具有更高的参量增益，更好的光束质量，特别适合飞秒光学参量的振荡器。     

月见草油中溶剂残留测定方法的改进

An improved method for the analysis of residual solvent in EPO by gas chromatographic headspaceanalysis is presented.A better accuracy and a lower detectable limit of this method in comparing with thoseof GB 5009.37-85 were obtained.